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NCHMCT JEE 2024 Solved Paper

Question : 1 of 200

Marks: +1, -0

Solution:

Concept:

Use the ratio to express sides of the rectangle, then equate its area to the square's area.

Explanation:

Let the sides of the rectangle be

x

and

4x

Area of square

= 8 \times 8 = 64\ \mathrm{cm}^2

Area of rectangle

= x \times 4x = 4x^2

Since areas are equal:

4x^2 = 64

x^2 = 16

x = 4\ \mathrm{cm}

So rectangle sides are

4\ \mathrm{cm}

and

16\ \mathrm{cm}

Perimeter

= 2(4 + 16) = 2 \times 20 = 40\ \mathrm{cm}

Answer:

Perimeter

= 40\ \mathrm{cm}

Correct option: C. 40

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